A182233 Numbers that are palindromic in bases 2 and 6.

0, 1, 3, 5, 7, 21, 129, 427, 693, 819, 3999, 4257, 4593, 28539, 66433, 85093, 148617, 151497, 153513, 180213, 425971, 1040319, 1093281, 1508381, 1632995, 1974031, 1986127, 30522135, 30643095, 208080483, 1894216583, 6662648163, 8632935681

Offset: 1

Author

Alex Ratushnyak, Apr 19 2012

Keywords

• nonn
• base

Comments

Intersection of A006995 and A029953. - Michel Marcus, Oct 09 2014

Examples

			85093 base 2 = 10100110001100101 and 85093 base 6 = 1453541.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..70 (terms < 10^18)

Crossrefs

Cf. A006995 (base 2), A029953 (base 6).

Cf. A060792 (base 2 and 3), A097856 (base 2 and 4).

Programs

Mathematica

b1 = 2; b2 = 6; lst = {}; Do[d1 = IntegerDigits[n, b1]; d2 = IntegerDigits[n, b2]; If[d1 == Reverse[d1] && d2 == Reverse[d2], AppendTo[lst, n]], {n, 2000000}]; lst (* T. D. Noe, Apr 19 2012 *)

PARI

isok(n) = (d2=digits(n, 2)) && (d2==Vecrev(d2)) && (d6=digits(n, 6)) && (d6==Vecrev(d6)); \\ Michel Marcus, Oct 27 2014

Extensions

a(28)-a(33) and b-file from Ray Chandler, Oct 27 2014